Multiple homoclinic solutions for superquadratic Hamiltonian systems
Date
2016-03-10
Authors
Jiang, Wei
Zhang, Qingye
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems
ü - L(t)u + Wu(t, u) = 0, ∀t ∈ ℝ,
where L is not required to be either uniformly positive definite or coercive, and W is superquadratic at infinity in u but does not need to satisfy the Ambrosetti-Rabinowitz superquadratic condition.
Description
Keywords
Hamiltonian system, Homoclinic solution, Variational method
Citation
Jiang, W., & Zhang, Q. (2016). Multiple homoclinic solutions for superquadratic Hamiltonian systems. Electronic Journal of Differential Equations, 2016(66), pp. 1-12.
Rights
Attribution 4.0 International